Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C8 · Schur multiplier (H2) = C23×C3 |
| direct product | C3×#10589416 |
| Sylow | C33 ⋊ #336 |
1012 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
504 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 12037);